If they are equally spaced, then 15 would be diametrically opposite of 30. So if we count from 0 to 7, like on a clock, that's 7 units. So we add 7 to 15, and we get 22.
The process I used was thinking about a clock.
An impossible puzzle would be dividing by an irrational number (as a spacing). Then there is no true diametrically opposite of a number since we have infinite decimal places. I think there is value in giving students impossible puzzles, as long as we don't overdue it. Some great mathematical problems (squaring the circle) were actually proved to be impossible. In real life the answers aren't at the back of the book.
The puzzle is geometric if we simply draw the circle and count and see. It would be logical if we use the formula for the circumference, divide by 30, and then play with the radius to get even spaces, and hence find the spacing.
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